JEE Exam > JEE Questions > Two balls are projected simultaneously with t...
Start Learning for Free
Two balls are projected simultaneously with the same velocity 'u' from the top of a tower, one vertically upwards and the other vertically downwards. Their respective times of the journeys are t1 and t2. At the time of reaching the ground, the ratio of their final velocities is?
Most Upvoted Answer
Two balls are projected simultaneously with the same velocity 'u' from...
Time of flight and final velocity ratio of balls projected vertically
Time of flight calculation:
When a ball is projected vertically upwards or downwards, the time of flight can be calculated using the formula:
\[ t = \frac{2u}{g} \]
where \( u \) is the initial velocity and \( g \) is the acceleration due to gravity.
For the ball projected upwards:
\[ t_1 = \frac{2u}{g} \]
For the ball projected downwards:
\[ t_2 = \frac{2u}{g} \]
Ratio of final velocities:
The final velocity of a ball when it reaches the ground can be calculated using the formula:
\[ v = u + gt \]
where \( v \) is the final velocity.
For the ball projected upwards:
\[ v_1 = u - gt_1 \]
For the ball projected downwards:
\[ v_2 = u + gt_2 \]
Now, the ratio of their final velocities at the time of reaching the ground is:
\[ \frac{v_1}{v_2} = \frac{u - gt_1}{u + gt_2} \]
Attention JEE Students!
To make sure you are not studying endlessly, EduRev has designed JEE study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in JEE.
|
Explore Courses for JEE exam
|
|
Similar JEE Doubts
Top Courses for JEEView all
Two balls are projected simultaneously with the same velocity 'u' from the top of a tower, one vertically upwards and the other vertically downwards. Their respective times of the journeys are t1 and t2. At the time of reaching the ground, the ratio of their final velocities is?
Question Description
Two balls are projected simultaneously with the same velocity 'u' from the top of a tower, one vertically upwards and the other vertically downwards. Their respective times of the journeys are t1 and t2. At the time of reaching the ground, the ratio of their final velocities is? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about Two balls are projected simultaneously with the same velocity 'u' from the top of a tower, one vertically upwards and the other vertically downwards. Their respective times of the journeys are t1 and t2. At the time of reaching the ground, the ratio of their final velocities is? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two balls are projected simultaneously with the same velocity 'u' from the top of a tower, one vertically upwards and the other vertically downwards. Their respective times of the journeys are t1 and t2. At the time of reaching the ground, the ratio of their final velocities is?.
Two balls are projected simultaneously with the same velocity 'u' from the top of a tower, one vertically upwards and the other vertically downwards. Their respective times of the journeys are t1 and t2. At the time of reaching the ground, the ratio of their final velocities is? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about Two balls are projected simultaneously with the same velocity 'u' from the top of a tower, one vertically upwards and the other vertically downwards. Their respective times of the journeys are t1 and t2. At the time of reaching the ground, the ratio of their final velocities is? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two balls are projected simultaneously with the same velocity 'u' from the top of a tower, one vertically upwards and the other vertically downwards. Their respective times of the journeys are t1 and t2. At the time of reaching the ground, the ratio of their final velocities is?.
Solutions for Two balls are projected simultaneously with the same velocity 'u' from the top of a tower, one vertically upwards and the other vertically downwards. Their respective times of the journeys are t1 and t2. At the time of reaching the ground, the ratio of their final velocities is? in English & in Hindi are available as part of our courses for JEE.
Download more important topics, notes, lectures and mock test series for JEE Exam by signing up for free.
Here you can find the meaning of Two balls are projected simultaneously with the same velocity 'u' from the top of a tower, one vertically upwards and the other vertically downwards. Their respective times of the journeys are t1 and t2. At the time of reaching the ground, the ratio of their final velocities is? defined & explained in the simplest way possible. Besides giving the explanation of
Two balls are projected simultaneously with the same velocity 'u' from the top of a tower, one vertically upwards and the other vertically downwards. Their respective times of the journeys are t1 and t2. At the time of reaching the ground, the ratio of their final velocities is?, a detailed solution for Two balls are projected simultaneously with the same velocity 'u' from the top of a tower, one vertically upwards and the other vertically downwards. Their respective times of the journeys are t1 and t2. At the time of reaching the ground, the ratio of their final velocities is? has been provided alongside types of Two balls are projected simultaneously with the same velocity 'u' from the top of a tower, one vertically upwards and the other vertically downwards. Their respective times of the journeys are t1 and t2. At the time of reaching the ground, the ratio of their final velocities is? theory, EduRev gives you an
ample number of questions to practice Two balls are projected simultaneously with the same velocity 'u' from the top of a tower, one vertically upwards and the other vertically downwards. Their respective times of the journeys are t1 and t2. At the time of reaching the ground, the ratio of their final velocities is? tests, examples and also practice JEE tests.
|
|
Explore Courses for JEE exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup